4 papers
Lecture hall polytopes and Lakshmibai-Seshadri paths
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
Using a bijection between the lattice points in a lecture hall polytope and Lakshimibai-Seshadri (L-S) paths, we prove the Koszul property of lecture hall polytopes in complete gen…
Higher rank Gelfand-Kapranov-Zelevinsky fans
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
We define and study the higher rank GKZ-fans of point configurations, serving as the set of discrete and homogeneous quasi-valuations on the homogeneous coordinate ring of the asso…
Combinatorial Seshadri stratifications on normal toric varieties
Rocco Chirivì, Martina Costa Cesari, Xin Fang +1
We apply the theory of Seshadri stratifications to embedded toric varieties associated with a normal lattice polytope . The approach presented here i…
Jordan classes and Lusztig strata in disconnected reductive groups
Martina Costa Cesari
Let be a non-connected reductive algebraic group over an algebraically closed field and let be a connected component of . We investigate Jordan classes of $…